A finite element model for plane elasticity problems using the complementary energy theorem

DOI10.1002/nme.1620180210zbMath0473.73074OpenAlexW1975445754MaRDI QIDQ3928385

Muluneh Azene, C. V. Girija Vallabhan

Publication date: 1982

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620180210

zbMATH Keywords

matchingAiry stress functionprescribed boundary tractionsLagrangian multiplier technique18 degree of freedom triangular element24 degree of freedom rectangular finite elementadditional boundary equationsquintic Hermitian polynomialsvalues of function and derivatives up to order two used as nodal parameters

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Linear elasticity with initial stresses (74B10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (7)

Dual analysis by a meshless method ⋮ Two-dimensional model of base force element method (BFEM) on complementary energy principle for geometrically nonlinear problems ⋮ Curvature- and displacement-based finite element analyses of flexible slider crank mechanisms ⋮ Stress-based hierarchic models for laminated composites. ⋮ Curvature- and displacement-based finite element analyses of flexible four-bar mechanisms ⋮ Base force element method of complementary energy principle for large rotation problems ⋮ Complementary energy method for cylindrical shells using second order stress functions

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